document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208626>Question 1208626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The reciprocal of b/a divided by the reciprocal of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%2Fa%5E2 ALIGN=MIDDLE  ALT=\"2b%2Fa%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiplied by the reciprocal of 3/a is the reciprocal of what number?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846998 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=846998\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The reciprocal of b/a divided by the reciprocal of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%2Fa%5E2 ALIGN=MIDDLE  ALT=\"2b%2Fa%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiplied by the reciprocal of 3/a is the reciprocal of what number?<br><BR>\n" );
document.write( "Dividing by the reciprocal of the fraction P/Q is the same as multiplying by the fraction P/Q.  So change the statement of the problem to<br><BR>\n" );
document.write( "The reciprocal of b/a multiplied by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%2Fa%5E2 ALIGN=MIDDLE  ALT=\"2b%2Fa%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiplied by the reciprocal of 3/a is the reciprocal of what number?<br><BR>\n" );
document.write( "The reciprocal of b/a is a/b; the reciprocal of 3/a is a/3.  So again change the statement of the problem to<br><BR>\n" );
document.write( "a/b multiplied by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%2Fa%5E2 ALIGN=MIDDLE  ALT=\"2b%2Fa%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiplied by a/3 is the reciprocal of what number?<br><BR>\n" );
document.write( "Now perform that multiplication:<br><BR>\n" );
document.write( "(a/b)(2b/a^2)(a/3) = (2a^2b)/(3a^2b) = 2/3<br><BR>\n" );
document.write( "2/3 is the reciprocal of 3/2<br><BR>\n" );
document.write( "ANSWER: 3/2<br><BR>\n" );
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